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0408U004164,
к.ф.-м.н.
30-10-2008
o
Approximations of the locally summable functions on the axis by the linear methods
Zhyhallo Tatyana Vasylivna,
popup.head Kharkevich Yuriy Iliodorovich
popup.opponent Тіман Майор Пилипович
popup.opponent Назаренко Микола Олексійович
Розв'язано задачу Колмогорова-Нікольського для верхніх меж наближень за допомогою операторів Абеля-Пуассона на класах диференційовних функцій, заданих на всій дійсній осі. Аналогічна задача розв'язана і для наближень за допомогою бігармонійних операторів Пуассона. Отримано асимптотичні рівності для верхніх меж відхилень бігармонійних інтегралів Пуассона-Чебишова від заданих на відрізку функцій з класу Ліпшиця.
2008-10-30
2020-04-04
Updated: 2025-12-08
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